Question

(х-2)*(х²+8х+16)=7*(х+4)

Answer 1

Свораяиваем x^2+8x+16 по формуле квадрат суммы: (x+4)^2; делим на (x+4), получаем: (x-2)(x+4)=7; x^2+4x-2x-8-7=0; x^2+2x-15=0; D=64; x1=3; x2=-5;

Answer 2

To solve the equation (х-2)(х²+8х+16) = 7(х+4) for x, you'll need to expand the expressions and then simplify the equation. Let's break down the steps:

1. Expand both sides of the equation:

Left side: (х-2)(х²+8х+16) = х(х²+8х+16) - 2*(х²+8х+16) = х³+8х²+16х - 2х² - 16х - 32 = х³+6х²-32

Right side: 7*(х+4) = 7х + 28

2. Rewrite the equation with the expanded expressions:

х³+6х²-32 = 7х + 28

3. Move all terms to one side of the equation:

х³ + 6х² - 7х - 60 = 0

4. Factor the equation if possible:

Unfortunately, the equation doesn't seem to factor easily.

5. You can solve for x numerically using methods like numerical approximation or graphing calculator, or you can use software like Mathematica, MATLAB, or Python with libraries like NumPy to find approximate solutions.

Please note that these solutions might not be simple and might involve decimal values or irrational numbers.